Calculations at an interarc quadrangle. This is formed, when between two equal sized circles with a distance from each other, two points on the same semicircle are connected with the according opposite points on the other circle. The interarc quadrangle is made of these connections and the enclosed circular arcs. So it is an isosceles trapezoid, with lateral removed circular segments. If the straight lines are between different semicircles, see intercircle quadrangle. If the circles touch, see interarc triangle.
Enter two of the three values from circle radius, distance of the centers and distance between the circles, as well as two of the three values from height of the first and second line and height of the interarc quadrangle. Choose the number of decimal places, then click Calculate.
Construction of an interarc quadrangle.
Formulas:
Radius, heights, lengths and perimeter have the same unit (e.g. meter), the area has this unit squared (e.g. square meter).
The two corners located along the shorter straight edge have angles of 90 degrees or greater. The angle is exactly 90 degrees when the shorter edge lies on the straight line connecting the two circle centers, that is when b=l. The two corners located along the longer straight edge are acute angles, that is less than 90 degrees. When this edge attains its maximum length, thus lies along the tangent common to both circles, then m=a and these two angles measure zero degrees. The rule stating that the sum of the interior angles in a quadrilateral always equals 360 degrees does not apply to shapes of this kind, which feature curved sides. The maximum interarc quadrangle for instance, where b=l and m=a, possesses two angles of 90 degrees and two angles of zero degrees, resulting in an angle sum of 180 degrees.
The interarc quadrangle possesses the same symmetry properties as the surrounding isosceles trapezoid. It is axially symmetric with respect to a line perpendicular to its straight edges, which bisects them in the middle.
